Average Error: 31.2 → 31.2
Time: 7.9s
Precision: 64
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
↓
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
double f(double a) {
        double r181758 = a;
        double r181759 = asin(r181758);
        double r181760 = fmod(r181758, r181759);
        double r181761 = atan(r181760);
        double r181762 = r181758 * r181758;
        double r181763 = pow(r181761, r181762);
        return r181763;
}
↓
double f(double a) {
        double r181764 = a;
        double r181765 = asin(r181764);
        double r181766 = fmod(r181764, r181765);
        double r181767 = atan(r181766);
        double r181768 = r181764 * r181764;
        double r181769 = pow(r181767, r181768);
        return r181769;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

    \[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

  2. Final simplification31.2

    \[\leadsto {\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

Reproduce

herbie shell --seed 2019322 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))